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Finding the Third Proportional to 129,742 and 279,482

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Solution

The third proportional to 129,742 and 279,482 is: 602,042.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,742 : 279,482 = 279,482 : x
  2. Step 2: Convert to fraction form
    129,742/279,482 = 279,482/x
  3. Step 3: Cross multiply
    129,742x = 279,482 × 279,482
  4. Step 4: Simplify right side
    129,742x = 78,110,188,324
  5. Step 5: Solve for x
    x = 78,110,188,324/129,742
  6. Step 6: Final answer
    x = 602,042.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.